Solve 4/5 x-(1 2/3 3/5 x)- 2/3

Question

Simplify the expression

- \frac{1}{5} x - \frac{2}{3}

Evaluate

\frac{4}{5} x - (1 \frac{2}{3} \times \frac{3}{5} x) - \frac{2}{3}

Covert the mixed number to an improper fraction

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Convert the expressions

1 \frac{2}{3}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 + 2}{3}

Add the terms

\frac{5}{3}

\frac{4}{5} x - (\frac{5}{3} \times \frac{3}{5} x) - \frac{2}{3}

Multiply the terms

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Multiply the terms

\frac{5}{3} \times \frac{3}{5} x

Multiply the terms

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Evaluate

\frac{5}{3} \times \frac{3}{5}

Reduce the fraction

\frac{1}{3} \times 3

Reduce the fraction

1 \times 1

Any expression multiplied by 1 remains the same

1

x

\frac{4}{5} x - x - \frac{2}{3}

Solution

More Steps

Evaluate

\frac{4}{5} x - x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{4}{5} - 1) x

Subtract the numbers

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Evaluate

\frac{4}{5} - 1

Reduce fractions to a common denominator

\frac{4}{5} - \frac{5}{5}

Write all numerators above the common denominator

\frac{4 - 5}{5}

Subtract the numbers

\frac{- 1}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{5}

- \frac{1}{5} x

- \frac{1}{5} x - \frac{2}{3}

Show Solution

Factor the expression

- \frac{1}{15} (3 x + 10)

Evaluate

\frac{4}{5} x - (1 \frac{2}{3} \times \frac{3}{5} x) - \frac{2}{3}

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{2}{3}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 + 2}{3}

Add the terms

\frac{5}{3}

\frac{4}{5} x - (\frac{5}{3} \times \frac{3}{5} x) - \frac{2}{3}

Multiply the terms

More Steps

Multiply the terms

\frac{5}{3} \times \frac{3}{5} x

Multiply the terms

More Steps

Evaluate

\frac{5}{3} \times \frac{3}{5}

Reduce the fraction

\frac{1}{3} \times 3

Reduce the fraction

1 \times 1

Any expression multiplied by 1 remains the same

1

x

\frac{4}{5} x - x - \frac{2}{3}

Subtract the terms

More Steps

Simplify

\frac{4}{5} x - x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{4}{5} - 1) x

Subtract the numbers

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Evaluate

\frac{4}{5} - 1

Reduce fractions to a common denominator

\frac{4}{5} - \frac{5}{5}

Write all numerators above the common denominator

\frac{4 - 5}{5}

Subtract the numbers

\frac{- 1}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{5}

- \frac{1}{5} x

- \frac{1}{5} x - \frac{2}{3}

Solution

- \frac{1}{15} (3 x + 10)

Show Solution

Find the roots

x = - \frac{10}{3}

Alternative Form

x = - 3. \dot{3}

Evaluate

\frac{4}{5} x - (1 \frac{2}{3} \times \frac{3}{5} x) - \frac{2}{3}

To find the roots of the expression,set the expression equal to 0

\frac{4}{5} x - (1 \frac{2}{3} \times \frac{3}{5} x) - \frac{2}{3} = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{2}{3}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{3 + 2}{3}

Add the terms

\frac{5}{3}

\frac{4}{5} x - (\frac{5}{3} \times \frac{3}{5} x) - \frac{2}{3} = 0

Multiply the terms

More Steps

Multiply the terms

\frac{5}{3} \times \frac{3}{5} x

Multiply the terms

More Steps

Evaluate

\frac{5}{3} \times \frac{3}{5}

Reduce the fraction

\frac{1}{3} \times 3

Reduce the fraction

1 \times 1

Any expression multiplied by 1 remains the same

1

x

\frac{4}{5} x - x - \frac{2}{3} = 0

Subtract the terms

More Steps

Simplify

\frac{4}{5} x - x

Collect like terms by calculating the sum or difference of their coefficients

(\frac{4}{5} - 1) x

Subtract the numbers

More Steps

Evaluate

\frac{4}{5} - 1

Reduce fractions to a common denominator

\frac{4}{5} - \frac{5}{5}

Write all numerators above the common denominator

\frac{4 - 5}{5}

Subtract the numbers

\frac{- 1}{5}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{5}

- \frac{1}{5} x

- \frac{1}{5} x - \frac{2}{3} = 0

Move the constant to the right-hand side and change its sign

- \frac{1}{5} x = 0 + \frac{2}{3}

Add the terms

- \frac{1}{5} x = \frac{2}{3}

Change the signs on both sides of the equation

\frac{1}{5} x = - \frac{2}{3}

Multiply by the reciprocal

\frac{1}{5} x \times 5 = - \frac{2}{3} \times 5

Multiply

x = - \frac{2}{3} \times 5

Solution

More Steps

Evaluate

- \frac{2}{3} \times 5

Multiply the numbers

- \frac{2 \times 5}{3}

Multiply the numbers

- \frac{10}{3}

x = - \frac{10}{3}

Alternative Form

x = - 3. \dot{3}

Show Solution